THE DISCRETE BOLTZMANN-EQUATION WITH MULTIPLE COLLISIONS - GLOBAL EXISTENCE AND STABILITY FOR THE INITIAL-VALUE PROBLEM

被引：14

作者：

BELLOMO, N ^{[1
]}

KAWASHIMA, S ^{[1
]}

机构：

[1] KYUSHU UNIV, FAC SCI, DEPT APPL SCI, FUKUOKA 812, JAPAN

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 01期

关键词：

D O I：

10.1063/1.528866

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper deals with the analysis of the initial value problem in all space ℝd, d≥2, for the discrete Boltzmann equation with multiple collisions. After a preliminary analysis of the mathematical modeling of the evolution equations, global existence and asymptotic behavior are proven using suitable stability criteria. Some applications verify the analysis for specific models. © 1989 American Institute of Physics.

引用

页码：245 / 253

页数：9

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[2]

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[3]

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[4]

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KAWASHIMA, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 109 (04) :563-589

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